Great circular surfaces in the three-sphere


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Please use this identifier to cite or link to this item:https://doi.org/10.14943/84108

Title:	Great circular surfaces in the three-sphere
Authors:	Izumiya, Shyuichi Browse this author
	Nagai, Takayuki Browse this author
	Saji, Kentaro Browse this author
Keywords:	3-sphere
	spherical geometry
	great circle
	great circular surface
	extrinsic at surface
	singularities
Issue Date:	10-May-2010
Publisher:	Department of Mathematics, Hokkaido University
Journal Title:	Hokkaido University Preprint Series in Mathematics
Volume:	961
Start Page:	1
End Page:	22
Abstract:	In this paper, we consider a special class of the surfaces in 3-sphere de ned by oneparameter families of great circles. We give a generic classi cation of singularities of such surfaces and investigate the geometric meanings from the view point of spherical geometry.
Type:	bulletin (article)
URI:	http://hdl.handle.net/2115/69768
Appears in Collections:	理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用

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